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Algebra 2/Trigonometry Regents Exam 0615
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1 Which list of ordered pairs does not represent a one-to-one function?
1)
2)
3)
4)
2 The terminal side of an angle measuring
1)
2)
3)
4)
I
II
III
IV
3 If
1)
2)
3) 25
4) 129
and
4 The expression
1)
2)
3)
4)
5 If
1)
2)
3)
4)
, what is the value of
2)
3)
4)
?
is equivalent to
is solved by completing the square, one of the steps in the process is
6 Which expression is equivalent to
1)
radians lies in Quadrant
?
Algebra 2/Trigonometry Regents Exam 0615
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7 What is the solution of the inequality
1)
2)
3)
4)
?
8 What is the area of a parallelogram that has sides measuring 8 cm and 12 cm and
includes an angle of 120°?
1)
2)
3)
4)
9 The expression
is equivalent to
1)
2)
3)
4)
10 Given y varies inversely as x, when y is multiplied by , then x is multiplied by
1)
2) 2
3)
4)
11 What is the total number of different nine-letter arrangements that can be formed using
the letters in the word “TENNESSEE”?
1) 3,780
2) 15,120
3) 45,360
4) 362,880
Algebra 2/Trigonometry Regents Exam 0615
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12 What is the fourth term of the sequence defined by
1)
2)
3)
4)
13 What is the solution set of
1)
2)
3)
4)
?
14 By law, a wheelchair service ramp may be inclined no more than 4.76°. If the base of a
ramp begins 15 feet from the base of a public building, which equation could be used to
determine the maximum height, h, of the ramp where it reaches the building’s entrance?
1)
2)
3)
4)
15 When
is subtracted from
, the difference is
1)
2)
3)
4)
16 Which transformation of
1)
2)
3)
4)
moves the graph 7 units to the left and 3 units down?
Algebra 2/Trigonometry Regents Exam 0615
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17 If
1)
2)
3)
4)
, then x equals
18 Which value is in the domain of the function graphed below, but is not in its range?
1)
2)
3)
4)
0
2
3
7
appear in  radians?
19 How many full cycles of the function
1) 1
2) 2
3) 3
4) 4
20 A theater has 35 seats in the first row. Each row has four more seats than the row
before it. Which expression represents the number of seats in the nth row?
1)
2)
3)
4)
21 What is the inverse of the function
1)
2)
3)
4)
?
Algebra 2/Trigonometry Regents Exam 0615
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22 The expression
is equivalent to
1)
2)
3)
4)
23 A video-streaming service can choose from six half-hour shows and four one-hour
shows. Which expression could be used to calculate the number of different ways the
service can choose four half-hour shows and two one-hour shows?
1)
2)
3)
4)
24 The roots of
are
1) imaginary
2) real, rational, and equal
3) real, rational, and unequal
4) real, irrational, and unequal
25 Circle O has a radius of 2 units. An angle with a measure of
radians is in standard
position. If the terminal side of the angle intersects the circle at point B, what are the
coordinates of B?
1)
2)
3)
4)
26 What is the value of
1)
2)
3)
4)
?
Algebra 2/Trigonometry Regents Exam 0615
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27 A population,
, of wild turkeys in a certain area is represented by the function
, where x is the number of years since 2010. How many more turkeys
will be in the population for the year 2015 than 2010?
1) 46
2) 49
3) 51
4) 68
28 Solve algebraically for x:
29 In triangle ABC, determine the number of distinct triangles that can be formed if
, side
, and side
. Justify your answer.
30 The probability that Kay and Joseph Dowling will have a redheaded child is 1 out of 4.
If the Dowlings plan to have three children, what is the exact probability that only one
child will have red hair?
31 If
, find the value of x.
32 Factor completely:
33 Express
in simplest form.
34 Given the equation
, state the sum and product of the roots.
35 Determine which set of data given below has the stronger linear relationship between x
and y. Justify your choice.
36 Find the measure of the smallest angle, to the nearest degree, of a triangle whose sides
measure 28, 47, and 34.
Algebra 2/Trigonometry Regents Exam 0615
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37 Solve algebraically for x:
38 The table below shows the final examination scores for Mr. Spear’s class last year.
Find the population standard deviation based on these data, to the nearest hundredth.
Determine the number of students whose scores are within one population standard
deviation of the mean.
39 In the interval
, solve the equation
values of , to the nearest tenth of a degree.
algebraically for all
Algebra 2/Trigonometry Regents Exam 0615
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1 ANS:
TOP:
2 ANS:
TOP:
3 ANS:
3
PTS: 2
Defining Functions
2
PTS: 2
Radian Measure
4
REF: 061501a2
STA: A2.A.43
REF: 061502a2
STA: A2.M.1
REF: 061503a2
STA: A2.A.42
TOP: Compositions of
PTS: 2
REF: 061504a2
Radicals
KEY: with variables | index > 2
5 ANS: 3
STA: A2.A.14
TOP: Operations with
PTS: 2
REF: 061505a2
Square
6 ANS: 4
PTS: 2
TOP: Negative Exponents
7 ANS: 2
or
STA: A2.A.24
TOP: Completing the
REF: 061506a2
STA: A2.A.9
PTS: 2
REF: 061507a2
Inequalities
KEY: one variable
8 ANS: 2
STA: A2.A.4
TOP: Quadratic
PTS: 2
Functions
KEY: numbers
4 ANS: 1
Algebra 2/Trigonometry Regents Exam 0615
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PTS: 2
REF: 061508a2
to Find Area
KEY: parallelograms
9 ANS: 1
STA: A2.A.74
TOP: Using Trigonometry
PTS: 2
REF: 061509a2
Denominators
10 ANS: 2
PTS: 2
TOP: Inverse Variation
11 ANS: 1
STA: A2.N.5
TOP: Rationalizing
REF: 061510a2
STA: A2.A.5
PTS: 2
12 ANS: 3
REF: 061511a2
STA: A2.S.10
TOP: Permutations
PTS: 2
13 ANS: 2
REF: 061512a2
STA: A2.A.33
TOP: Sequences
is extraneous.
14
15
16
17
PTS: 2
REF: 061513a2
STA: A2.A.1
Equations
ANS: 3
PTS: 2
REF: 061514a2
TOP: Trigonometric Ratios
ANS: 3
PTS: 2
REF: 061515a2
TOP: Operations with Polynomials
ANS: 1
PTS: 2
REF: 061516a2
TOP: Transformations with Functions and Relations
ANS: 1
TOP: Absolute Value
PTS: 2
REF: 061517a2
Logarithms
KEY: antilogarithms
TOP: Properties of
STA: A2.A.19
STA: A2.A.55
STA: A2.N.3
STA: A2.A.46
Algebra 2/Trigonometry Regents Exam 0615
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18 ANS: 4
PTS: 2
TOP: Domain and Range
19 ANS: 1
PTS:
TOP:
20 ANS:
TOP:
21 ANS:
TOP:
22 ANS:
REF: 061518a2
2
REF: 061519a2
STA: A2.A.69
Properties of Graphs of Trigonometric Functions
4
PTS: 2
REF: 061520a2
Sequences
2
PTS: 2
REF: 061521a2
Inverse of Functions
KEY:
1
STA: A2.A.51
KEY: period
STA: A2.A.29
STA: A2.A.44
equations
PTS: 2
REF: 061522a2
STA: A2.A.77
Identities
KEY: simplifying
23 ANS: 3
PTS: 2
REF: 061523a2
TOP: Differentiating Permutations and Combinations
24 ANS: 3
TOP: Double Angle
PTS: 2
REF: 061524a2
STA: A2.A.2
Discriminant
KEY: determine nature of roots given equation
25 ANS: 2
TOP: Using the
PTS: 2
REF: 061525a2
Trigonometric Functions
26 ANS: 4
STA: A2.A.62
TOP: Determining
PTS: 2
KEY: advanced
27 ANS: 3
REF: 061526a2
STA: A2.N.10
TOP: Sigma Notation
REF: 061527a2
STA: A2.A.12
TOP: Evaluating
PTS: 2
STA: A2.S.9
Algebra 2/Trigonometry Regents Exam 0615
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Exponential Expressions
28 ANS:
PTS: 2
REF: 061528a2
Equations
KEY: common base shown
29 ANS:
STA: A2.A.27
TOP: Exponential
1 triangle
PTS: 2
Ambiguous Case
30 ANS:
REF: 061529a2
STA: A2.A.75
TOP: Law of Sines - The
PTS: 2
Probability
KEY: exactly
31 ANS:
REF: 061530a2
STA: A2.S.15
TOP: Binomial
PTS: 2
Equations
KEY: basic
32 ANS:
REF: 061531a2
STA: A2.A.28
TOP: Logarithmic
REF: 061532a2
STA: A2.A.7
TOP: Factoring by
PTS: 2
Grouping
Algebra 2/Trigonometry Regents Exam 0615
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33 ANS:
PTS: 2
34 ANS:
Sum
REF: 061533a2
STA: A2.N.7
TOP: Imaginary Numbers
STA: A2.A.20
TOP: Roots of Quadratics
. Product
PTS: 2
35 ANS:
REF: 061534a2
Set B has the stronger linear relationship since r is higher.
PTS: 2
Coefficient
36 ANS:
REF: 061535a2
STA: A2.S.8
TOP: Correlation
PTS: 4
KEY: find angle
37 ANS:
REF: 061536a2
STA: A2.A.73
TOP: Law of Cosines
PTS: 4
REF: 061537a2
KEY: rational solutions
38 ANS:
5.17
STA: A2.A.23
TOP: Solving Rationals
PTS: 4
REF: 061538a2
STA: A2.S.4
KEY: advanced, group frequency distributions
TOP: Dispersion
Algebra 2/Trigonometry Regents Exam 0615
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39 ANS:
PTS: 6
REF: 061539a2
Equations
KEY: reciprocal functions
STA: A2.A.68
TOP: Trigonometric